RevolutionPlot3D

RevolutionPlot3D[fz,{t,tmin,tmax}] generates a plot of the surface of revolution with height fz at radius t.

RevolutionPlot3D[fz,{t,tmin,tmax},{θ,θmin,θmax}] takes the azimuthal angle θ to vary between θmin and θmax.

RevolutionPlot3D[{fx,fz},{t,tmin,tmax}] generates a plot of the surface obtained by rotating the parametric curve with x, z coordinates {fx,fz} around the z axis.

RevolutionPlot3D[{fx,fz},{t,tmin,tmax},{θ,θmin,θmax}] takes the azimuthal angle θ to vary from θmin to θmax.

RevolutionPlot3D[{fx,fy,fz},{t,tmin,tmax},…] plots the surface obtained by rotating the parametric curve with x, y, z coordinates {fx,fy,fz}.

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